Question

evaluate as requested.
find f(3) for f(x) = x² - 4x - 7
select one:
a. f(3) = 14
b. f(3) = -10
c. f(3) = 28
d. f(3) = 4

Explanation:

Step1: Substitute \( x = 3 \) into \( f(x) \)

We have the function \( f(x)=x^{2}-4x - 7 \). To find \( f(3) \), we replace every \( x \) in the function with 3. So we get \( f(3)=3^{2}-4\times3 - 7 \).

Step2: Calculate each term

First, calculate \( 3^{2}=9 \), then \( 4\times3 = 12 \). Now substitute these values back into the expression: \( f(3)=9-12 - 7 \).

Step3: Simplify the expression

First, \( 9-12=-3 \), then \( -3-7=-10 \).

Answer:

B. \( f(3)=-10 \)